4222108800 has 960 divisors, whose sum is σ = 19283140800. Its totient is φ = 885841920.

The previous prime is 4222108799. The next prime is 4222108861. The reversal of 4222108800 is 88012224.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23587111 + ... + 23587289.

It is an arithmetic number, because the mean of its divisors is an integer number (20086605).

Almost surely, 2^4222108800 is an apocalyptic number.

4222108800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9641570400).

4222108800 is an abundant number, since it is smaller than the sum of its proper divisors (15061032000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4222108800 is a wasteful number, since it uses less digits than its factorization.

4222108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4222108800 is about 64977.7561939469. The cubic root of 4222108800 is about 1616.2547224522.

The spelling of 4222108800 in words is "four billion, two hundred twenty-two million, one hundred eight thousand, eight hundred".